Reconstruction with Voronoi Centered Radial Basis Functions

dc.contributor.authorSamozino, M.en_US
dc.contributor.authorAlexa, M.en_US
dc.contributor.authorAlliez, P.en_US
dc.contributor.authorYvinec, M.en_US
dc.contributor.editorAlla Sheffer and Konrad Polthieren_US
dc.date.accessioned2014-01-29T08:14:01Z
dc.date.available2014-01-29T08:14:01Z
dc.date.issued2006en_US
dc.description.abstractWe consider the problem of reconstructing a surface from scattered points sampled on a physical shape. The sampled shape is approximated as the zero level set of a function. This function is defined as a linear combination of compactly supported radial basis functions. We depart from previous work by using as centers of basis functions a set of points located on an estimate of the medial axis, instead of the input data points. Those centers are selected among the vertices of the Voronoi diagram of the sample data points. Being a Voronoi vertex, each center is associated with a maximal empty ball. We use the radius of this ball to adapt the support of each radial basis function. Our method can fit a user-defined budget of centers: The selected subset of Voronoi vertices is filtered using the notion of lambda medial axis, then clustered to fit the allocated budget.en_US
dc.description.seriesinformationSymposium on Geometry Processingen_US
dc.identifier.isbn3-905673-24-Xen_US
dc.identifier.issn1727-8384en_US
dc.identifier.urihttps://doi.org/10.2312/SGP/SGP06/051-060en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Surface Reconstruction from Scattered Data, Radial Basis Functions.en_US
dc.titleReconstruction with Voronoi Centered Radial Basis Functionsen_US
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